Performance limitations in sensitivity reduction for nonlinear plants

Research output: Contribution to journalArticlepeer-review


This paper investigates performance limitations imposed by 'non-minimum phase' characteristics of a nonlineaR time-varying plant. A performance criterion is defined which, in the linear case, is analogous to minimizing the sensitivity over a given frequency band. It is shown that if the nonlinear plant is 'non-minimum phase', then the frequency-weighted sensitivity cannot be made arbitrarily small while keeping the overall sensitivity bounded. The non-minimum phasedness of the plant is stated in terms of a deficiency in its range. These results extend the familiar 'push/pop' phenomenon in sensitivity optimization to a nonlinear time-varying setting.

Original languageEnglish (US)
Pages (from-to)43-47
Number of pages5
JournalSystems and Control Letters
Issue number1
StatePublished - Jul 1991
Externally publishedYes


  • disturbance rejection
  • Non-minimum phase systems
  • nonlinear systems
  • performance limitations
  • sensitivity reduction

ASJC Scopus subject areas

  • Control and Systems Engineering
  • General Computer Science
  • Mechanical Engineering
  • Electrical and Electronic Engineering


Dive into the research topics of 'Performance limitations in sensitivity reduction for nonlinear plants'. Together they form a unique fingerprint.

Cite this